Answer:
y=|x|
Step-by-step explanation:
We know
general modulus function passes through origin as |0| is 0
And it's symmetric on both sides of y axis .
As it's not one -one function
Means
So the graph is y=|x|
Answer:
60 km/h
Step-by-step explanation:
Let us use the x to represent the speed of the car since it is the smaller value.
Then, the distance covered by the car is 4x since was going 4 kph.
The distance covered by the train is (x+5) times 7 or 7x+35.
We know that the total distance covered is 640 km.
Using this information, we can set up the equation 4x+7x+35=640.
By subtracting both sides by 35 and combining the x's, we get a new equation of 11x=605.
After this, we divide both sides by 11 and get x=55.
Lastly, we add 5 to 55 since the train is 5 km faster than the car and that x stood for the car.
Train=60 km/h
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a )
![{x}^{2} = 16](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%2016)
![x = ± \: 4](https://tex.z-dn.net/?f=x%20%3D%20%C2%B1%20%5C%3A%204)
Two solutions.
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b )
![4 {x}^{2} = 0](https://tex.z-dn.net/?f=4%20%7Bx%7D%5E%7B2%7D%20%20%3D%200)
![x = 0](https://tex.z-dn.net/?f=x%20%3D%200)
One solution .
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c )
![{x}^{2} = - 16](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%20%20-%2016)
![No \: \: solution.](https://tex.z-dn.net/?f=No%20%20%5C%3A%20%20%5C%3A%20solution.)
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d )
![3x + 2 = 14](https://tex.z-dn.net/?f=3x%20%2B%202%20%3D%2014)
![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
One solution.
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e )
![{x}^{2} - 1 = 24](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%201%20%3D%2024)
![{x}^{2} = 25](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%2025)
![x =± \: 5](https://tex.z-dn.net/?f=x%20%3D%C2%B1%20%5C%3A%205)
Two solutions.
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f )
![(x + 8)(x - 8) = 0](https://tex.z-dn.net/?f=%28x%20%2B%208%29%28x%20-%208%29%20%3D%200)
![x = - 8 \: \: or \: \: x = 8](https://tex.z-dn.net/?f=x%20%3D%20%20-%208%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20x%20%3D%208)
Two solutions .
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Answer:
Part A:
-Minimum: 10
-Q1: 17.5
-Median: 30
-Q3: 42.5
-Maximum: 50
Step-by-step explanation:
Part B: IQR= 25
This shows that the data varies for 25 different numbers. That HALF of the data is between 25 numbers.
Part C: Using a box-and-whisker plot you can interpret the different values. Minimum is the first dot (10), connected to the first line (Q1 which is 17.5), connected by a box to the median (30), connected by a box to the third line (Q3 which is 42.5), connected to the last dot which is the maximum (50). And IQR is Q3-Q1, so 42.5-17.5 which is 25.
The area of a triangle can be calculated using the formula
1/2 (base) (height)
Let's substitute our known values, letting x represent the value of the height of the triangle.
16 = 1/2* x* 2x
Let's Simplify!
16 = x^2
Finally, lets take the square root of both sides, to get rid of the exponent on the right side of the equation.
x= positive OR negative 4.
However, because x is equal to the height, we know that it can't be negative, so we know that it is positive 4.
The height of the triangle = 4 inches
The base of the triangle = 2h = 8 inches